Mid-march will be chilly, with temperatures in 30s - 50s Fahrenheit. Bring a few sweaters and jacket https://weatherspark.com/m/22721/3/Average-Weather-in-March-in-Philadelphia-Pennsylvania-United-States#Sections-Temperature
I recently moved from Manayunk to Center City and used Thumbtack to find a mover. You tell them how long (distance-wise) the move is and then different companies will send you quotes. There are even reviews and stuff from people that found their mover this way.
I highly doubt you can get it done for under 100, though. Maybe call up a buddy with a truck to help you out?
I like Citymapper a lot more than google for transit directions. If you use the "go" feature it'll show you every stop while you're on the bus and where you're at & give you an alert when it's almost time to get off (I had it be late only once so do pay some attention) https://citymapper.com/
Regarding bus stops, they are almost every block which is why there's too many to list but I share your frustration in it sometimes being difficult to figure them out! The bus driver will stop if it seems someone waiting. If you're at the stop, make sure they know you're there for the bus or they might pass you by. If you're on the bus and need to get off at a stop, you need to request it because otherwise they won't stop unless they see someone waiting. If you notice you missed your stop, just request to stop at the next one because it's probably only a block away.