We currently have a home in PA. We are there weekends, holidays, etc. We have not permanently moved there, yet. Any tax implications? Thanks

nope - you are not a resident and I assume not working here (in PA). 

You will of course pay school tax.

lady-dog

Is there any tax benefit to being a PA resident? 

not if you continue to work in NY it doesn't - sort of.  depending on your income and deductions you can find yourself like so many others do, over paying taxes to NYS.
 
Pa allows for credit for taxes paid to other states (few exception as we have agreements with them).  So many people that live here and work in NYC/NYS have paid enough taxes to offset their PA state and Local taxes. 
 
Problem is as a tax payer you are not getting any benefit from those taxes and as far as pa is concerned it has cost that you are not helping fund.

Thanks Frank. That's ludicrous. Can't I have PA taxes deducted from my NY payroll instead and don't pay any NY taxes once I moved permanently to PA?  Thanks

no.  there is no agreement between PA and NY. 

Hence your argument re need for real job creation and business incentives to incentivise NY into an agreement. I appreciate the info. Thanks

basically its a numbers game.  we have more people working in PA from NJ so we can hold them to an agreement.  NY well thats a different sorry - between our population going to NYC and upstate Pa folks going over the border to NYS for work we are out numbered and the tax dollars goes to the winner.  NY.
Back in 2000 or so NJ wanted to break the agreement, but thanks to then Governor, Philly, and Delaware we won and kept the agreement alive. 
 
We need jobs for a varity of reason - one is to improve our quality of life second is to lower our tax burdens on the individuals living here.

The states make agreements with each other on who will get the income tax and how much.   Sadly PA   came up short on that  and NY  gets the money and as long as you work in NY you will pay NY taxes no matter what state you live in, PA, NJ.
 
If you get a job in PA,  and live in PA  then you pay   PA income taxes.

You get the great fortune of paying NYS inflated taxes!

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I got quite a bit of change back, so I wasn't complaining

Fabi, NYS has a higher tax rate than PA.  In many cases even the effective rate (income less deductions) is still higher than PA.   So you might have received a large refund, but odds are if it were in PA it would have been larger.

don't ever go by how large your refund is.   Getting large refunds, is poor planning and giving the govt your money tax free.     Need to look at what your actually liability(amt that is actually  to be paid for the year). 
 
Most will come out cheaper if  PA taxes attached,  but that is not  PA's  call.   Don't you think they would want to get that money?    NY  will never give it away,  why should they?   fills up their coffers  and with little expense.