Why do you want a lawyer?Â
Do it yourself:
1- certificate of birth (apostilled/legalised in your country)
This is for the Registro Civil. They will give you a 'testimonio de partida civil' that, together with your 'Residencia en Tramite', will allow you to get a 'cedula', an ID.
2- certificate of health (have it done in Montevideo)
3- passport with date of entry in Uruguay stamp (is done automatically at border)
4- certificate of criminal records (apostilled/legalised in your country, not older than 6 months)
5- certificate of vaccines (get it done in Montevideo)
6- certificate of income (get it done by a public notary in Montevideo)
Once you register as an immigrant at 'Migracion' (calle Missiones) in Montevideo, make sure you have 2, 3, 4 and 5 done or they will not register you.
If all is fine, you get a certificate 'Residencia en Tramite'.
To make first-time appointments:
First fill in your application here:
Under 'Residencia legal'.
They will then ask you to agree for an appointment, which you will have to pay for within a week or two.
The best is to take all the relevant documents (apostilled/legalised) with you as you come to Montevideo. Then start the immigration process. If you need a visa, do it through the Uruguay embassy.
Good luck!