I'm gonna take a guess, just for fun. I think that these are young Northern Black Widow spiders. As they mature, they will gain their typical red spots.

He's right - the immature ones have stripes (so do most of the mature males).

The key to identification is the really FAT, ROUND abdomen and a messy web.

Most other striped spiders with round abdomens make classic "webs", flat with the spiral connecting spokes.

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Step one is to kill the spiders.

Step two is to eliminate whatever they are feeding on to avoid attracting more.

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Basic pest control steps:

Exclusion:
* Window screens, door screens, weatherstripping on windows and doors.
* Caulk cracks around window and door trim, inside and outside.
* Caulk all cracks around the base of siding.
* Caulk all cracks where pipes and wires enter the house, inside and outside.

Outdoor Habitat Removal:
* Remove ALL debris piles and dead vegetation near the base of the house, and from all porches and patios.
* Trim back all vegetation that brushes the house. A 12-18 inch band of raked bare dirt or gravel or non-plant-based paving at the base of the wall, with no way to cross it on a plant's branches.
* Clean up all material that attracts vermin ... garbage cans, pet feces, recycling bins with old soda cans, etc.

NOTE: You can expect a brief period of higher intrusions after you do the cleanup, because you just wiped out habitat and they will be seeking new homes. Seal cracks first, clean up later.

Interior Habitat:
* CLEAN HOUSE
* Do not leave pet food out overnight
* Do not leave dirty dishes overnight
* Do not leave accumulated clutter, such as collections of shopping bags or piles of dirty laundry.

I disagree with the alarmist comment "Step !: Kill the spider". Black widows are found throughout the US yet humans are rarely ever harmed by them. You are FAR FAR more likely to be harmed by a dog. Would you recommend "kill any dog you see"?