As stated, for a first suppressor, unless you don't own anything over .264" cal, go with a .30. You really aren't giving anything up suppression-wise, and gain all the flexibility of being able to use it with .27, .28 and .30 cal hosts.
TBAC cans are top shelf, and it's a great company built by great people (Zak used to moderate here, and Ray is a solid dude), but they are also expensive and a little more specialized. As Gtscotty noted, they (and any other all-Ti can) are not a good choice for hard use. They also have a proprietary mounting system. It's a good system, but the brakes are not cheap, and there is a very limited selection. For precision rifle use, they cannot be beat, and they are a great choice for hunting as well. For general purpose that may include ARs and the like, though, they may not be the best option.
If you do want a more all-around critter for a first suppressor, I would recommend a stainless bodied .30 can with stainless and/or inconel/stellite internals, and one that can accept the de facto standard 1-3/8 24 TPI Omega/Bravo pattern mounts & adapters. Take a hard look at the YHM Resonator R2 and the Rex Silentium offerings, both of which are very reasonably priced ($450-$600). These are a little larger diameter (1.56" and 1.7" diameters, respectively) tubeless cans, so lots of internal volume for the external dimensions. What I mean by tubeless is that the baffle skirts form the tube. This is how I build many of mine, as well as the way I do many recores of production and Form 1 stuff.
Before assembly, my tubeless builds/recores look like this:
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After welding and heat treatment, you have this:
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