Upvote:2
Your spouse and dependants should apply for a Standard Visitor Visa (SVV). Having a work permit adds nothing special by way of visa category for your spouse and dependants. That page and the guidance will answer all of your other questions, but let's recap them briefly here...
What visa I should apply for my wife and a kid.. visitor visa/ family visit?
The SVV (linked above) is the only possible mechanism for them to use.
should she mention in the visa form that she is going along with me and staying with me while I am on work.
Yes, there is a question like that on the form and we advocate honesty and full disclosure in visa applications, so she should put down all of your details when the form asks for them. Note that each child must have their own application and fee, there are no 'family applications'.
Will my spouce and a kid will be allowed to stay for 2 months on a 6 months visitor visa?
Yes, if visas are issued, they would expect your spouse and dependants to pursue their itinerary and enjoy their visit to the UK
If she applies now mentioning my work permit detials in remarks and plan to travel along with me will it still need a confirmed iternaryas sid above?
No. They do not want to see confirmed reservations (or tickets). The premise and itinerary are sufficient. Read the guidance.
Please guide about the category of visa and iernary docuemnts related to stay for 2 months with a husband who has UK work permit.
Having a work permit enables a premise for a spouse and dependants and nothing more than that. As far as visit visas go there are no other categories other than the Standard Visitor Visa.