We live in zone 10, 28 years now (having come from the NE) and have always done our own landscaping at 3 different homes,this one being our last home build, and I can tell you for a fact there is much to learn about landscaping in Florida zone 10 and many, many things to be considered for success, a few of these are, locations of plants such as north side, south side E & W etc. not over doing the planting since we live in a natural hot house and in a year's time you can end up with a jungle!! Use a good grade of weed block or plan to do weeding every week, lot's of weeding! or plan to hire a gardener full time... plus know what to feed your plants and tree's and feed, feed, feed remember the poor things are trying to live in sand with very little nourishment, the only reason you see palm tree's with yellow fronds is because they are not fed enough, with added magnesium, also don't forget the bugs that will devour your plants as soon as you turn your back, unless you are on top of that also, and now even though we are in zone 10, we're on the way out to cover our hibiscus, ixora etc. for temps in the high 20's tonight and possible frost, yes, we even have these problems in zone 10, and hate the chore a few times each winter.

I would suggest a foundation planting bed in front of the house and a separate island around the palm. You can see in the sketch that I opted to leave only the single palm near the center front. It seems disturbing to me to have a collection of odds and ends palms in a group because they don't make a nice group. If they can't be like type palms, I'd rather see a single specimen. The architecture already carries a horizontal visual element as the base of the house. Rather than duplicate or cover that up with a hedge, use plants to temper it, and the easiest way is a mound shaped shrub below each window. It doesn't end up looking like you're trying to smother the house with shrubs. Where the windows are low to the ground, such as left of front door, instead of shrubs (that you will need to trim regularly in order to keep them low) use an 18" height groundcover -- such as Liriope -- that won't need to be height trimmed at all. It should be a FAT (double or triple) row -- not a skinny string. Consider variegated Liriope for a brighter look. Given your location, for the shrubs below windows I'd consider Thai crown of thorns. (Not the regular small-flowered one.) It would cheer up the front of your house considerably for much of the year. At the base of Robellini, consider an island of firecracker plant. Eventually, if it gets too tall, you can cut it to the ground and make it low again for a good length of time. For the moderately low groundcover used to link the separate elements together, consider tri-color oyster plant. It is at the same time soothing and cheerful and it's easy to start from pieces. You can split a gallon of it into about 15' pieces that will plant that many square feet. In one year's time it will appear grown together. (Of course, you would need to wait until February to plant it.) Near right of front door and at garage are two places you could use seasonal color. The groundcover around the single palm could be same as the foundation bed groundcover, or different. It could also be a little taller if you wanted, since it is a limited space. I can understand your wanting to get rid of the two lamp pedestals. But for sure, I would think about how you could retain the use of the electrical supply wire that they contain. Either could gain a new use: path lights ... uplights on trees ... post lamps ... downlighting from trees, etc. I would determine how you will reuse them before you demolish them. (BTW, you can make an underground splice if you use heat shrink tubing with sealant built in. I can't say that it will be in compliance with your local code since I don't know it ... just that it works and can be done.) Again, I remind that you need to work out all the proposed changes in plan view before you do any work.

Being as there is no glass in the front door, the ground floor window seems to take on more importance than average. It suggests a residential friendliness, helps create a sense of being welcomed to anyone approaching and adds some architectural interest. You might not want it covered up with foliage -- either pygmy palm or new plants. Bushy plants might go more to the outside with lower plants below the window. Really killing the overall appeal is the the skinny walk. It needs to be doubled in width. Would be much nicer if redone in a more decorative way.

Here is a picture of our house