Lawncare basics recommendations?

My husband and I recently bought our first house and it has wonderful front and back yards. Several mature trees of different varieties, some shrubbery, and a random patch of thin bamboo (gonna try to get rid of that).

Our only prior experience with lawncare is having to push mow the yard of our childhood homes. We don't have any equipment yet and I want to go ahead and buy the good stuff instead of risking buying something cheap and dangerous. I don't have any strong opinions on gas vs. electric or brands. I just want it to do its job well, not blow up/catch fire, and keep the functions/maintenance simple.

Things I know we need:

- push mower

- trimmer/edger

- hedge shears

Please let me know what y'all use and if there are any other tools you'd recommend. Thanks in advance!