No need to pay anybody to do something you can easily do yourself.
I know we are talking about a non floyd, hence my post on the squier strat I also own for everyday playing.
Just do the following :
(1) Remove all strings,
(2) Take the opportunity to clean your neck
(3) add two more springs to the trem. 5 will definitaly improve your tuning stability, sustain and tone, (one extra spring cost 60 euro cents here in France)
(4) use a pencil in the nut grooves to add a little "coal" (?? don't know the word in english), enhances string stability too,
(4) Install the new 10-46s,
(5) fiddle with the trem screws until the
vintage trem sits well on the body (non floating), but is not putting overly harsh pressure on the body, at least that's what I do, because I don't use it on the squier,
(6) Stretch the strings as well as you can,
(7) Adjust the action of your strings on your trem to your liking
( 8 ) Correct intonation by moving the saddles,
(9) Adjust
pickup height on the tgreble and bass side to your liking, adjusting for output, sustain and overall harmony of the sound,
(10) play and enjoy !!!
If your guitar has a decent neck profile, it most probably won't need a trussrod adjustment even when moving from 9s to 10s !
And most importantly, have fun

I love my affinity strat for everyday noodling, and when I don't want to take the queens out of their bed
PS : due to scale length, the 10s will feel a little stiffer on the squier strat than on a 24 fret floyd Ibanez. But I still love it.