You don't have to get rid of your leftover tabs, but it's advisable not to refill those floaters. Rinse them out and keep them for if you're going on vacation or need to slowly add CYA in the future. As it sits, you're right in the middle of the good zone for CYA on your pool.
Trichlor is acidic, so now that you've used up all the pucks in the floaters it'll be normal to expect a slow rise in pH. So like Marty said, no need to add anything to artificially drive pH up... it'll find a good balance. You can help it along by running any features that create bubbles in your pool, or turn the returns upward so they break the surface. Make sure you've got a jug or two of Muriatic acid on hand, and when your pH gets to 8.0, use the PoolMath calculator to lower it back down to 7.8 or 7.6. You're in a great spot with TA of 70. Knowing your fill water's chemistry will also help you plan your acid consumption if you're needing to refill frequently.
Also, like Marty said, be prepared to add liquid chlorine daily until you close the pool. Let your FC lower down a few PPM so your pH measurements are more accurate. 10ppm FC at your CYA levels is totally safe to swim, but right on the edge of throwing off your daily pH tests if it goes any higher. You'll quickly be able to tell how much FC is burned off during a normal day's sunshine, and that'll be your maintenance amount. If you get lazy (like me) you'll probably start thinking about a salt water chlorine generator...