You can get close in a DIY alignment with eyeballs and some string, but these trucks are very sensitive. Even putting something .1 or .2 degrees off from perfect can cause it to handle wonky. Having someone that knows what they're doing with a proper rack is vital on this platform IMO. LT shouldn't make much difference as the suspension controls everything - the alignment just makes sure your tires are orientated properly at ride height.
You're changing everything up front to go LT, but the alignment is still adjusted by the same components it was in stock form (unless you are putting in components with additional adjustability), so any reputable (read: not lazy) shop that is familiar with adjusting the eccentrics on these instead of just the tie rods should be able to handle it. My shop would knock it out without breaking a sweat but seems shops like mine are few and far between. If there's a popular offroad shop in your area they might be able to point you in the right direction. To make sure Tacoma's specifically are properly aligned, my shop will perform an initial alignment to perfect spec and then pull the truck off the rack to unweight/cycle the suspension and then pull it back onto the rack and perform a second alignment. I've had mine in twice (as I've made suspension changes) and both times when the truck was pulled on the second time the specs had changed. This process makes sure they get it super dialed - and I've never owned a vehicle that has tracked straighter.