Had the exact same thought as I run into the same problem using my Note 10.1.
I haven't found a favorite keyboard yet as all have some sort of compromise. Let me first qualify that I like having the delete key on the top right corner of the keyboard (same as a traditional keyboard) and most don't do this. I also prefer to use the same keyboard on both my tablets and phone, again, for consistency.
Google does this but it offers the least customization, doesn't have an option for a row of number keys on tablets, has minimal long-press secondary character options and it's autocorrection and word prediction is midpack, IMO. Its swiping functionality is also OK, not great. My keypress accuracy is probably best with Google though.
Kii offer a lot of customization (love being able to use different landscape layout, especially on tablets, add a row of numbers, change key size and spacing) but has the delete and return/enter keys in different places on phone vs. tablet layout (???). Needless to say, this leads to plenty of errors. Its autocorrect and word prediction are also good, not the best, IMO. I do like it's swipe functionality the best. My keypress accuracy isn't great with Kii.
Swiftkey would probably be my first choice if they didn't have the delete key near the bottom (at least they are consistent). Its autocorrect and word prediction is spectacular, best by far, IMO--love the Cloud syncing between devices as well. I don't however, like the number/symbols grouping--numbers in keypad configuration is OK but why on the left when most people are right handed? At least make it configurable. It's swipe functionality is midpack. My keypress accuracy isn't great here either but the autocorrect/word predict makes up for it.
On a side note, ironically, I find I'm most accurate with my keypresses on the iOS keyboard, even on its smaller screen. Autocorrect on iOS is OK and it's in desperate need for more robust features (better word prediction, swipe would be a good start) but limitations withstanding, I'm still pretty damn accurate and quick using it. Go figure.