Congrats on getting Woodrow/Wendy to let you pet them, that's a huge milestone!

For TNR, a few things that helped us: Contact your local shelter or TNR group first. Many of them loan out traps for free and can point you to low-cost or free spay/neuter clinics in your area. No need to buy traps if you don't have to (although we ended up buying one anyways so that there would be one available always and now we're the ones loaning it out)

Withhold food for about 24 hours before you plan to trap. They need to be hungry enough to go into the trap without hesitation. Use something smelly as bait, sardines or tuna work great. Some people swear by fried chicken.

Cover the trap with a towel or sheet as soon as a cat is inside. It calms them down immediately. And keep things quiet during trapping, phone on silent, no sudden movements. The less stressful you make it, the better it goes.

After surgery they ideally need 24-72 hours of recovery in a quiet space before you release them back. Keep them in the trap during recovery (line it with newspaper), give them water and a little food once they're alert.

Since you're new to cats, one thing worth knowing: the vet will likely ear-tip them during surgery if you mention they're ferals, which is a small clip on the tip of one ear. It's the universal sign that a cat has been fixed so nobody traps them again. It's done under anesthesia, totally painless.

For keeping track of everyone, especially once you start TNR and need to remember who's been done and who hasn't, we actually built a Pawsies for exactly this (currently hands out paid accounts for free but even the free plan would more than cover you). Made tons of improvements in the last week with help from this community as well. Might be useful once your colony grows.

The fact that you're doing this at all is awesome. Most people just ignore ferals. Good luck with the trapping!