The number of Peers eligible to sit in the House of Lords changes frequently. There are no set limits - and the numbers rise with new appointments, and fall upon the death of any member. [Only Bishops 'retire' from the House of Lords - for others death is the only release].
The Senate's size is governed by Art 1 Section 3 Clause 1 "The Senate of the United States shall be composed of two Senators from each State".
The House of Representatives is fixed by statute at 435 (Public Law 62-5 of 1911) members. This number could be changed by statute. CQ Politics reported this week that a retired health care consultant in Southern California, Scott Scharpen, has filed a lawsuit in a federal district court in Mississippi contending that the law limiting House membership to 435 is unconstitutional because it violates the principle of one person, one vote.