In King Lear, why does Lear go to Albany's palace?

As the play gets underway, many events happen quickly.
King Lear voluntarily gives up his power, planning to divide his kingdom among his three
daughters--Cordelia, Goneril, and Regan. When Cordelia displeases her father by refusing
to flatter him, King Lear banishes her and divides his kingdom between Goneril and
Regan. His plan is to live with his daughters, alternating the times spent with them.
Albany is Goneril's husband. King Lear goes to Albany's palace to take up residence with
Goneril first, as he had planned.

The end of the first
scene in Act I, however, shows that Goneril and Regan are not happy with the prospect of
their father living with them. His banishment of Cordelia has made them distrust his
judgment and his rash behavior. Goneril says this to
Regan:

Pray
you, let's hit together. If our father carry authority with such dispositions as he
bears, this last surrender of his will but offend
us.

She speaks what they both
are thinking: they do not like their father's planned living arrangements. The two
daughters agree to think about this. Goneril says, "We must do something, and i' the
heat," meaning soon.

As a result, after King Lear and his
attendants have settled themselves in Albany's palace, Goneril soon makes her father
leave, sending him to Regan, who won't have him either.