Hi,
Your PPG signal needs to run though an op amp circuit to convert it to a single voltage 0 to +5v or 0 to +3v3.
The EADog display has the ST driver chip on board, however it all runs at 3v3, so you either need to step down all the 5v Pic signals to it or use one of the many pic chips that run at 3v3 - though you have to then consider if you can easily convert your adc signal at 3v3
Your 877A choice has a 10 bit adc as do many other Pics.
If the inbuilt eeprom is too small for you data storage, you need to look at external eeprom or sd card.
Perhaps look at chips like the 18F4620 ,18LF4620 or 18 K/J series, all very similar to the 877a but with more memory and features.
Despite your current questions, your project is quiet complicated so you might find your hardware needs will change as you project develops.
Rather than try planning the whole thing, try building each function separately, like first building a working display, then an adc input etc.
Its not going to be something you can do in a week or two.