The current coffee table seems too small to my eye, and too dark as well. I'm not sure how much is the photography, but between the sectional, fireplace, and the TV unit, there is a lot of "dark" in your room. Adding color, or choosing a coffee table that is visually light (like the glass top one My3dogs suggested), will add some energy to the room. If you go with an ottoman, I would look for one that picked up the yellow from the pillow, maybe in a multi-colored print.

All these HU-# user names are really confusing for us spies who keep folders on you folks. If you decide to do a graphic coffee table, here's an idea. Go get one of those wallpaper murals they print to your specified size, glue it to the top of a plain table, seal it with several coats of polycrylic. Follow the "More Info" link on the image below to see bazillions of graphics:

Is that one 2 piece table meant to fit together, or 2 tables?

If you are worried about the couches in an L-shape then maybe across from each other would be preferable. A table and chairs in the space by the small window then? Is there room for that? Do you have a table to try there? It's hard to tell not being there. Can you take more photos showing how the room relates to nearby spaces and what kind of space there actually is? A room diagram would help but I know how annoying that is to hear. To answer your basic question, what kind of tables to have… Sorry to digress to arrangement but that helps dictate the tables… Anything but ottomans. Those sofas are so big and so overstuffed. The last thing you need is something that looks like a big pillow. You are at the beginning of your lives and I don't think those sofas will last long. So I also wouldn't try to hard to make the tables go with the sofas. With a new family starting, you likely aren't ready for investment pieces that might be damaged by toys. I like the idea of investing in furniture designed for outdoor living for young families. When you buy all new replacement furniture, you will then have tables for your outdoor space you aren't even thinking about now. Outdoor furniture can be very pretty, and when the baby barfs on it or spills cereal you take it outside and hose it down, let it dry and bring it back in. The furniture, not the baby. My guess is you don't want a coffee table with reclining sofas. You'd rather have lightweight tables that can be moved around to wherever you need them at the moment. Make sense? See how pretty outdoor tables can be?