docs: fix outdated URLs and align site with Path C messaging (GRO-1818)

- Fix demo URLs from groombook.farh.net to demo.groombook.dev
- Remove broken 'Book Now' link from footer
- Expand blog section to showcase Path C content pillars
- Update mobile-groomers.html with Path C messaging and branding
- Reframe pain points around revenue impact and data ownership
- Add demo link and deployment options to mobile-groomers CTA
- Replace 'Groom Book' with 'GroomBook' for consistent branding

Co-Authored-By: Claude Haiku 4.5 <noreply@anthropic.com>

index.html

@@ -99,8 +99,7 @@
       <p class="tagline">Stop missing client calls. Book 24/7, groom all day.</p>
       <p>Built for solo groomers and small teams who want to own their schedule and their data. Clients book themselves 24/7. You groom. Automated reminders, detailed pet profiles, and mobile-first tools mean more time grooming, less time on admin.</p>
       <div class="cta-buttons">
-        <a href="https://groombook.dev/admin/book" class="btn-primary">Book an Appointment →</a>
-        <a href="https://groombook.farh.net" class="btn-demo">Try the Demo →</a>
+        <a href="https://demo.groombook.dev" class="btn-demo">Try the Demo →</a>
         <a href="https://github.com/groombook/groombook" class="btn-primary">View on GitHub</a>
         <a href="getting-started/" class="btn-secondary">Get Started</a>
       </div>
@@ -211,7 +210,7 @@
 
       <div style="text-align: center;">
         <p style="color: #666; margin-bottom: 25px;">Ready to try it? Choose your path:</p>
-        <a href="https://groombook.farh.net" class="btn-demo" style="display: inline-block; margin-right: 15px;">Launch Live Demo →</a>
+        <a href="https://demo.groombook.dev" class="btn-demo" style="display: inline-block; margin-right: 15px;">Launch Live Demo →</a>
         <a href="getting-started/" class="btn-secondary" style="display: inline-block;">Deploy Locally</a>
       </div>
     </div>
@@ -319,6 +318,7 @@
   <section class="blog-preview">
     <div class="container">
       <h2>From the Blog</h2>
+      <p class="section-subtitle">Guides and insights for solo groomers and small teams.</p>
       <div class="blog-grid">
         <div class="blog-card">
           <h3><a href="blog/launch.html">Introducing GroomBook</a></h3>
@@ -332,6 +332,15 @@
           <p>An honest look at the pet grooming software landscape—and why we decided to build something specifically for independent groomers.</p>
           <a href="blog/why-we-built.html">Read more →</a>
         </div>
+        <div class="blog-card">
+          <h3><a href="blog/pet-health-records.html">The Groomer's Guide to Pet Health Records</a></h3>
+          <p class="blog-date">April 2026</p>
+          <p>What pet health records should you keep, and how to store them safely. Build detailed profiles that help you charge premium prices and provide better grooming.</p>
+          <a href="blog/pet-health-records.html">Read more →</a>
+        </div>
+      </div>
+      <div style="text-align: center; margin-top: 30px;">
+        <a href="blog/" style="color: #4CAF50; font-weight: 600; font-size: 1.05rem;">View all blog posts →</a>
       </div>
     </div>
   </section>
@@ -341,11 +350,10 @@
       <p><strong>GroomBook</strong> — Open source scheduling and client management for independent pet groomers.</p>
       <p style="color: #999; font-size: 0.9rem; margin-top: 8px;">AGPL-3.0 License — You own this software, fully.</p>
       <div class="footer-links">
-        <a href="https://groombook.dev/admin/book">Book Now</a>
         <a href="https://github.com/groombook/groombook">GitHub</a>
         <a href="https://github.com/groombook/groombook/issues">Issues</a>
         <a href="https://discord.gg/groombook">Discord</a>
-        <a href="blog/launch.html">Blog</a>
+        <a href="blog/">Blog</a>
         <a href="getting-started/">Docs</a>
       </div>
     </div>