In about 12 days (on Wednesday 30th) I'll be travelling to New York City and I'll arrive at JFK around 4pm. I will stay in an AirBnB that's located in the Bronx (Neill Avenue), and I'd like to be there by 10pm if possible (but I'd much rather be there by 8pm), as to not inconvenient the hosts. I have no idea how much time I'll lose among possible delays, getting luggage and customs, hence why I'd like a fast solution.
I'll carry a small backpack, my carry-on baggage (i.e. a small suitcase) and a normal suitcase.
What are my options to reach it from JFK?
Public transportation: using Google Maps for public transport tells me it takes about 2 hours with something like 4 changes in between, which means a big chance of losing at least one and hence an even longer trip.
Taxi: Obviously the faster way is probably a taxi, but I have no idea how much it would cost... Probably way more than 100$, which is too much than what I'd like to pay.
Uber/Lyft/similar: no idea how much these cost, since I've never used them before. I feel like it would be a little bit cheaper than a taxi, but I guess for something like a 45/60 minute trip (I guess?) it will still be around 80/100$.
Is there any other option or trick that would save me time and/or money?
I don't know, maybe there are buses that connect JFK to LaGuardia and I may take one of those and then just some other public transport to complete the trip, something like that?