Thanks for query,
The part attached to your penile head is frenulum
& it is carrying the attached vessel to penis so you get more blood during excitement & your penis bulges.
The fore skin should be retract over glans
easily.This skin is meant to reduce the sensitivity when it is in normal position.but during excitement it retracts as penis bulges by its own & the sensitive skin came in contact of vagina so you got pleasure of sex.
If it is tight & not retracted in normal resting condition then you should retract it daily during bath with pouring warm water on it .If this should be done for at least 3-6 months you should avoid surgery but if this measure will not retract it then you need surgical removal like circumcision
The expense of it is differs in different country.
You may contact your local surgeon for it.