re: Water along walls of my basement... cause/fix?

At my previous house I had the same problem. Not wanting to dig up all the shrubbery and down 8 feet to re waterproof the outside walls I hired a company to come in and use a product called Xypex. It is a substance that when water reaches it it will carry itself towards the source. It literally fills in the porous holes in concrete and waterproofs them.

https://www.xypex.com/products/crystalline-technology

My walls were concrete block with areas of poured concrete

Xypex has a consistency of mortar and paint. It was rolled on. The installer also spread it 3-4" from the walls on the floor. I think he applied 4 coats. After that I never had any water penetration. My basement was unfinished at that time and after it was sealed and I had no water for a couple of years we framed walls (careful not to attach to the walls but rather the floor and ceiling).

It was an awesome product. Since your basement is finished you could try some downspout diverters to move the water from the gutters 4-5 feet from walls. That is probably the fastest and cheapest thing to try.