First of all, I'd like to congratulate you for your successful Sole Proprietorship and I'm also happy to tell you that the things you are looking for are possible. All the process is online, Templates also easily available, Licensing and registrations can also be done online.
The Portal to get your Company Registered as a Private Limited Company, One Person Company, Public Limited or Limited Liability Partnership is MCA.gov.in which is Government website which deals with all the legal registration under Central Government.
According to me if your work is related to softwares and you are the sole person who is handing the Business then you should go for One Person Company registration which gives you the access to the next level of doing business.
- Getting Funds
- Memorandum of the Company
- Separate Legal Entity
- Limited Liability
- Lesser Compliance in Comparison to others models
There are many things you will get as One Person Company. And in future, if your company is running fine and you are generating revenue in crores then you can simply convert it to into the next level model which is Private Limited Company.
In the whole suggestion I've not talked about Limited Liability Partnership, Although it has much less compliance cost in comparison with all business models BUT it doesn't have the privilege to convert itself into the next level business. And all the benefits (except less compliance cost) are available in other business models.
Conclusion: If I were at your Place, First I've applied for the Trademark of the Brand Name to safeguard the name by raising the Legal Protection to it. Then Register a One Person Company and run the business. If OPC will run then I'll convert it Private Limited Company.
To Learn more about this stuff please visit the links below
Company Registration India
Knowledge of Corporate Law