Best Solution For TPG?

Since you don't have many coins and since they will come under different categories (modern, classic etc.) The price at NGC or PCGS will be $25-$30 per coin. ANACS will probably charge $15 per coin. So cost wise ANACS definitely is the best. However you may want to go for PCGS since they are all US coins PCGS has the most experience and market credibility in that field. Although since these will be high value coins maybe its worth it to overlook grading costs because a PCGS cert will add more value than the fee. All a personal choice really. Good luck.

Hope you don't mind me moving this to where it'll find a more dedicated audience.

Grading is going to involve a membership at PCGS and NGC, which will cost you money but be potentially offset by getting free grading vouchers depending on the membership level involved. ANA members get free submissions to NGC (if you're an ANA member) and ANACS requires no membership. In many instances, PCGS enjoys a clear value advantage in terms of buyer perception. You'll get more money for a PCGS-slabbed coin, plain and simple. As regards "complexity," it's no worse than you'd expect from a system which requires the desired service and expectations to be very clearly laid out, and shipping to be tracked and insured with equal care. I wouldn't call anyone's system a navigational hassle.

At PF67, your Franklins do not justify the cost of grading; even 68 is iffy and you're going to need a minimum of a "Cameo" designation either way. As regards the Kennedys, if you can squeeze a 70, they'll be the first-ever for those dates which is to say it's unlikely. Even at 69 you'll probably need a DCAM designation to generate any real value; PCGS alone has almost 600 in PR69DCAM. The Bust Halves are an easier proposition as long as they grade at least XF or better, especially if they're a scarcer Overton variety which you ought to have put on the slab anyway. Bust Half collectros tend to be knowledgeable about their coins and are more likely to trust their own grading than a TPG, so the "PCGS Premium" lessens. The Large Cents are the best proposition of all, even in lower grades; even the more-populous years of 1800-1803 get a lot of attention. Here also, you'll probably want them attributed by Sheldon variety.

My usual generalized TPG advice: Don't bother unless you're looking at a value in excess of $150(ish) that will also allow you a profit counting the cost of grading, or it's an issue whose authenticity is dubious-enough to warrant "official" authentication.