Can anyone date this picture and tell me the name of the pub on the corner (not the bank that is now Shillings)

possibles

Letters Inn to New Chester Rd to New Ferry
Toll Bar, Wirral New Chester Road, Wirral, Merseyside
Wynstay New Chester Road New Ferry Toll Bar
Travellers Rest New Ferry Road
New Ferry Hotel 195 New Ferry Road

It's not the Toll Bar or the Travellers rest.
The Toll bar is now Alice's Place over the road from the Farmers Arms (which I believe was the original site for the actual toll bar) and the Travellers Rest was about 100 yards down New Ferry Road from the junction.

The clue in in the sign post that is pointing to New Ferry Pier. As the area is quite built up the only road then is to the right could only be "Tollbar Corner" leading to "New Ferry Road" and to the left of the sign post is "Bebington Road".

As for the date - the electric tram puts the date after Nov 1900 (when it was introduced on to the New Ferry route) but there is a horse drawn tram as well. This puts the date before Jan 1901 (when the last horse drawn tram was withdrawn). I don't think I could narrow that date even more!

A quick check and I can add it's definitely not the New Ferry Hotel. That would be at the other end of the road.
The building in question used to be an office of Roberts Moore Nicholas Jones solicitors and a quick check shows that their New Ferry address was Wynnstay House 51 New Chester Road.
So that's my guess as to the name

the electric trams were very frequent in that picture

Well they would be. The depot was just round the corner

Here is a map of the area that I think the pic is taken from:-
I circled the crossroads..

Yep that's spot on Paul. Exactly the right place

I'm certain the pub is the Wynnstay Arms, which closed in the early 1970s. The building later became a solicitors' office, I think.

wynnstay arms i know this because my mates mum and dad run it the houghtons

It's the Wynnstay!

Just go to www.newferryonline.org.uk and look in the Memories & Photos section. You will see loads of photos of the same view through the last 110 years.

I agree it is the Wynstay much altered when i drank ther in the 50s.Sing-songs on Sat.nights with blind Tom on the accordian

The Letters, or the Bents as it was known as was on the left a little further down the road.