BCA

The decision is all up to what to choose. Both are good fields in their respective ways. It totally depends on you and your interests and skills to choose. Game development and game designing what's the difference between them?
If you choose Game development you have to polish your coding skills as games are programs and it needs coding to function or do the certain task as a developer you have to learn coding languages there are many platforms to make games and different platforms come with different coding language but the most common language is c+ and c#. Game designing if you choose to be a game designer then you have to deal mostly with the graphics part. As games are 2d type and 3d type. You have to learn different applications to do 2d graphics or 3D graphics. You have to design animate the scenes or the levels. you have to learn skills of character designing and animation.
Both are good to choose from and have good future placements just choose what you will enjoy doing the developing part or the designing part.
I am a 3D artist to as a 3D artist you have many fields to explore as a game designer as a product designer as a 3D visualizer of interior designs.
Also as a developer, you can do many things developing games, applications, security systems.

The admission in BCA course at Lucknow University are based on the 12th marks. The eligibility criteria is given below.
Eligibility : Intermediate or equivalent examination with Mathematics/Computer as one of the subjects with at least 50% marks (45% for Scheduled Castes and Scheduled Tribes) based on the total marks of all subjects.
Counseling Procedure : University of Lucknow will be adopting an Off Campus Online Counseling for the UG Professional programs. Candidates have to register and submit choices after the merit has been declared.
Please read UG Professional Programmes admission guidelines available on University website before filling the online application forms.